Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

29 of 106 · show all

1. Q8 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   $\tan^{-1}\left(-\dfrac{1}{\sqrt{3}}\right) =$

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2. Q12 2026 Set B2026 Set D

   $\tan^{-1}(1) + \cos^{-1}(-\frac{1}{2}) + \sin^{-1}(-\frac{1}{2}) =$

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3. Q19 2026 Set F

   $\tan^{-1}(1)+\cos^{-1}(-\frac12)+\sin^{-1}(-\frac12) =$

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4. Q23 2026 Set H

   $\tan^{-1}(1)+\cos^{-1}\left(-\frac12\right)+\sin^{-1}\left(-\frac12\right) =$

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5. Q28 2025

   $\cos^{-1}\left(\dfrac{-1}{\sqrt{2}}\right) =$

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6. Q29 20252025 Set A2025 Set E

   $\tan^{-1}(-\sqrt{3}) =$

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7. Q33 2025

   Domain of $\text{cosec}^{-1}x$ is

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8. Q34 2025

   $\sin^{-1}\left(\dfrac{-1}{2}\right) + \cos^{-1}\left(\dfrac{\sqrt{3}}{2}\right) =$

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9. Q39 2025 Set A20252025 Set E2021 Set J2021 Set I

   $\tan^{-1}\sqrt{3} - \cot^{-1}(-\sqrt{3}) =$

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10. Q44 2024 Set D

    $\cos^{-1}\left(-\frac12\right)=$

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11. Q46 2024 Set D2024 Set J

    $x\in[-1,1]$, $\sin^{-1}(-x)=$

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12. Q47 2024 Set D

    $\operatorname{cosec}^{-1}x=\ldots\ldots\ldots\ldots$ ; $x\ge1$ or $\le-1$.

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13. Q52 2024 Set D2024 Set J

    $\frac{\pi}{3} - \sin^{-1}\left(-\frac{1}{2}\right) =$

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14. Q53 2024 Set D2024 Set J

    $\tan^{-1}\sqrt{3} - \sec^{-1}(-2) =$

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15. Q55 2024 Set J

    $\operatorname{cosec}^{-1}x=\ldots\ldots\ldots$ ; $x\ge1$ or $\le-1$.

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16. Q58 20232023 Set E

    $x \in R, \cot^{-1}x =$

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17. Q70 2023 Set E

    Find the principal value of $\mathrm{cosec}^{-1}\,2$.

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18. Q74 2021 Set I

    $\operatorname{cosec}^{-1}(-x) =$

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19. Q76 2021 Set I

    $\cot^{-1}\dfrac{1}{x} = \ldots\ldots\ldots\ (x > 0)$

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20. Q81 2021 Set J2021 Set I

    $\tan^{-1} 1 =$

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21. Q84 2021 Set J2021 Set I

    $\sin^{-1}(-x)=$

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22. Q85 2021 Set J

    $\cot^{-1}\frac{1}{x}=$ ............, $(x>0)$

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23. Q88 2019 Set F

    $\sin^{-1}\frac{1}{x} = ?$

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24. Q89 2019 Set F

    $\sin^{-1}\left(\dfrac{1}{\sqrt2}\right)=\ ?$

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25. Q93 2018

    $\tan^{-1}(1)+\cos^{-1}\left(\frac{-1}{2}\right)+\sin^{-1}\left(\frac{-1}{2}\right)=$

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26. Q95 2017

    $\tan^{-1}(1) = \ldots\ldots$?

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27. Q98 2016

    The principal value of $\cos^{-1}\left(-\frac{1}{2}\right)$ is

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28. Q103 2015

    The principal value of $\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)$ is

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29. Q104 2015

    $\tan^{-1} x =$

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